time limit per test: 0.25 sec. memory limit per test: 65536 KB
input: standard output: standard
A bishop is a piece used in the game of chess which is played on a board of square grids. A bishop can only move diagonally from its current position and two bishops attack each other if one is on the path of the other.
Given two numbers n and k, your job is to determine the number of ways one can put k bishops on an n × n chessboard so that no two of them are in attacking positions.
The input file contains two integers n (1 ≤ n ≤ 10) and k (0 ≤ k ≤ n2).
Print a line containing the total number of ways one can put the given number of bishops on a chessboard of the given size so that no two of them are in attacking positions.
Folklore, Andrew Stankevich
Little Chess Pieces Series, SPb IFMO 2003-2004 Authumn Training Sessions
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